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The string topology coproduct is often perceived as a counterpart in string topology to the Chas-Sullivan product. However, in certain aspects the string topology coproduct is much harder to understand than the Chas-Sullivan product. In particular th
Externí odkaz:
http://arxiv.org/abs/2404.03460
The homology of the free and the based loop space of a compact globally symmetric space can be studied through explicit cycles. We use cycles constructed by Bott and Samelson and by Ziller to study the string topology coproduct and the Chas-Sullivan
Externí odkaz:
http://arxiv.org/abs/2212.09350
Autor:
Kupper, Philippe
We construct products on the homology of quotients by finite group actions of the free loop space ΛM of a compact manifold M. We compute some of the these products in the case M is as sphere. We show that there are nonnilpotent classes with respect
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A72797
https://ul.qucosa.de/api/qucosa%3A72797/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A72797/attachment/ATT-0/
Autor:
Kupper, Philippe
We consider the space $\Lambda M:=H^1(S^1,M)$ of loops of Sobolev class $H^1$ of a compact smooth manifold $M$, the so-called free loop space of $M$. We take quotients $\Lambda M/G$ where $G$ is a finite subgroup of $O(2)$ acting by linear reparametr
Externí odkaz:
http://arxiv.org/abs/2105.02301
Autor:
KUPPER, PHILIPPE1 philippe.kupper@kit.edu
Publikováno v:
Homology, Homotopy & Applications. 2023, Vol. 25 Issue 2, p129-158. 30p.
